Varadarajan, Veeravalli S. - Department of Mathematics, University of California at Los Angeles

• Natural and Artificial in the Language of the Malayalam Text Yuktibhas.a
• 8. The Lie algebra and the exponential map for general Lie groups 8.1. The Lie algebra. We shall show how one can associate to any Lie
• Symmetry and supersymmetry V. S. Varadarajan
• Has God made the quantum world p-adic? V. S. Varadarajan
• Matrix Airy functions for compact Lie groups V. S. Varadarajan
• Indian Mathemtics V. S. Varadarajan
• The Quantum Dice V. S. Varadarajan
• Mathematics 106, Winter 2011 Instructor: V. S. Varadarajan
• Archimedes of Syracuse Archimedes Thoughtful by Fetti (1620)
• George Mackey and his work on representation theory and foundations of physics
• MULTIPLIERS FOR THE SYMMETRY GROUPS OF P-ADIC SPACETIME
• Some remarks on arithmetic physics * V. S. Varadarajan
• VECTOR BUNDLES AND CONNECTIONS IN PHYSICS AND MATHEMATICS: SOME HISTORICAL REMARKS
• 1. INTRODUCTION 1.1. Introductory remarks on supersymmetry.
• 3. SUPER LINEAR ALGEBRA 3.1. The category of super vector spaces.
• Historical review of Lie Theory 1. The theory of Lie groups and their representations is a vast subject (Bourbaki [Bou]
• 4. The concept of a Lie group 4.1. The category of manifolds and the definition of Lie groups.
• 5. Matrix exponentials and Von Neumann's theorem 5.1. The matrix exponential. For an n n matrix X we define
• 6. Matrix Lie groups 6.1. Definition and the basic theorem. A topological group is
• 9. The Lie groupLie algebra correspondence 9.1. The functor Lie. The fundamental theorems of Lie concern the
• 10. The subgroupsubalgebra correspondence. Homogeneous spaces. 10.1. The concept of a Lie subgroup of a Lie group. We have
• 12. Hilbert's fifth problem for compact groups: Von Neumann's theorem 12.1. The Hilbert problem. In his address entitled Mathematical
• 11. Representations of compact Lie groups 11.1. Integration on compact groups. In the simplest examples like
• Euler at 300 V. S. Varadarajan
• Unitary representations of super Lie groups V. S. Varadarajan
• Mathematics 106, Winter 2011 Instructor: V. S. Varadarajan
• 3. The concept of a manifold 3.1. Concepts of space and ringed spaces. For over two thousand
• Complex or p-adic wave functions? This has been an issue from the beginning. Mathematically
• Airy Functions for Compact Lie Groups. Rahul N. Fernandez and V. S. Varadarajan
• Some remarks on a problem of Accardi G. CASSINELLI and V. S. VARADARAJAN
• Contemporary Mathematics George Mackey and His Work on Representation Theory
• 2. An informal look at Lie groups 2.1. The review is mainly about 19th
• 7. Baker-Campbell-Hausdorff formula 7.1. Formulation. Let G GL(n, R) be a matrix Lie group and let
• 5.1. Prologue. 5.2. Clifford algebras and their representations.
• 1. CIRCULAR FUNCTIONS 1. The cotangent as an infinite series. As a prelude to the study
• Weyl systems, Heisenberg groups and Arithmetic physics * V. S. Varadarajan
• Unitary representations of super Lie groups V. S. Varadarajan